73068 has 12 divisors (see below), whose sum is σ = 170520. Its totient is φ = 24352.

The previous prime is 73063. The next prime is 73079. The reversal of 73068 is 86037.

It is a tau number, because it is divible by the number of its divisors (12).

It is not an unprimeable number, because it can be changed into a prime (73061) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3033 + ... + 3056.

It is an arithmetic number, because the mean of its divisors is an integer number (14210).

2⁷³⁰⁶⁸ is an apocalyptic number.

It is an amenable number.

73068 is an abundant number, since it is smaller than the sum of its proper divisors (97452).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85260).

73068 is a wasteful number, since it uses less digits than its factorization.

73068 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6096 (or 6094 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 24.

The square root of 73068 is about 270.3109320764. The cubic root of 73068 is about 41.8063648801.

The spelling of 73068 in words is "seventy-three thousand, sixty-eight".